verizon AR The Law of Reflection Instructions

Verizon AR The Law of Reflection

The Law of Reflection

Overview
In this activity, students will play miniature golf in the augmented reality environment, utilizing the Law of Reflection to accurately hit balls off walls and around barriers.

Objectives
Upon completion of the activity, students will be able to recognize the Law of Reflection and how it is displayed in miniature golf.

Launch

• Scanning The device needs a variety of perspective information to understand the space.
• Slowly move the camera throughout the space.
• View surfaces at an angle.
• Aim the camera at multiple points throughout the space.

Exploration

• Move the phone closer in to increase the size of the objects in AR.
• Move the phone around the objects to view them from different angles.
• Touch the screen to select and drag objects.

Environment Ideal spaces for AR should feature the following:

• a flat open space
• a surface with non-patterned visual texture and contrast
• a matte or minimally reflective surface
• a static environment, where nothing in the space is in motion
• a well-lit space, where detail is visible in the darkest and brightest parts of the space

Duration of Activity
15-20 minutes

Materials

• Smartphone with the McGraw Hill
• AR Application installed
• flat, non-patterned surface Standards

PS4.B Electromagnetic
RadiationWhen light shines on an object, it is reflected, absorbed, or transmitted through the object, depending on the object’s material and the frequency (colour) of the light. (MS-PS4-2) The path that light travels can be traced as straight lines, except at surfaces between different transparent materials (e.g., air and water, air and glass) where the light path bends. (MS-PS4-2)

During the Activity

Teacher Tips

• Make sure students know that there is a timer to complete each hole when the activity is done in group play.
• Point out to students that pulling back farther on the backswing will hit the ball with more power r.
• Red indicates the most power.
• Discuss the relationship between the angles when a ball hits a wall or barrier.

Evaluate
Students will be presented with five randomly selected exercises from the following exercise set. Which shot has the best opportunity for a hole-in-one?

The paths of the shots represent reflections.

What are the values of x and y?

• Line A is a reflection of line b of the horizontal line.

What is the measure of angle x? 50°

• Line c represents a reflection of line d of the vertical line.

What value is equal to x? w

• Line b represents a reflection of line d off line a. What value is equal to z? w
• Which two lines represent a reflection offline a? c and d

After the Activity

Additional Exercises
These are additional exercises that can be assigned after the activity. When a ball is rolled or struck without spin against a wall, it bounces off the wall and travels in a ray that forms an angle with the wall congruent to the angle at which the ball bounced off the wall. This is a representation of the angle of incidence and the angle of reflection. The angle of incidence, x, equals the angle of reflection, y.

In each image, the cue ball can hit the eight ball so that it will bounce off one rail, and then go into the target pocket. Draw the path of the eight ball which will guide it into the pocket, identifying the location where it hits the rail and the congruent angles formed at the rail. You do not need to find the angle measures.

In these images, the eight ball needs to hit two rails to go into the target pocket.
Hint: Use the location of the cue ball as a guide for determining the rails to use.

Extension
These are additional exercises that can be assigned after the activity. When light strikes a reflecting surface, the normal is an imaginary line perpendicular to the surface where the light strikes the surface. The
incident ray, reflected ray, and normal are all in the same plane, which is perpendicular to the surface.

The Law of Reflection states that the angles of incidence θi and reflection θr are equal in measure.

1. What is the angle of incidence of a light ray reflected off a plane mirror at an angle of 28° to the normal? 28°
2. Suppose the angle of incidence of a light ray is 18°.
   • What is the angle of reflection? 18°
   • What is the angle the incident ray makes with the mirror? 72°
   • What is the angle between the incident ray and the reflected ray? 36°
3. A light ray strikes a mirror at an angle of 46° to the normal. What is the angle that the reflected angle makes with the normal? 46°
4. A light ray strikes a flat, smooth, reflecting surface at an angle of 70° to the normal. What angle does the reflected ray make with the surface? 20°
5. A light ray incident upon a mirror makes an angle of 39° with the mirror. What is the angle between the incident ray and the reflected ray? 102°
6. The angle of incidence is sometimes, never, or always equal to the angle of reflection. Always

Enrichment

Enrichment content beyond what is learned in the activity.

1. A light ray strikes a plane mirror at an angle of 15° to the normal. The mirror then rotates 25° around the point where the beam strikes the mirror so that the ray’s angle of incidence increases. The axis of rotation is perpendicular to the plane of the incident and to the reflected rays. What is the final angle of reflection of the light ray? 40°
2. A light ray strikes a mirror at a 25° angle to the normal. The mirror then rotates 30° around the point where the beam strikes the mirror, increasing the ray’s angle of incidence. Draw a diagram of the situation. What is the final angle of reflection of the light ray? 55°
3. Two mirrors meet each other at a right angle. What is the relationship between the incoming ray and the outgoing ray? Explain your reasoning. Sample answer: The two normals are perpendicular to the perpendicular mirrors, so they are also perpendicular to each other. θ1 and θ2 are the acute angles of a right triangle, so they sum to 90°, and 2θ1 +2θ2 =180. By the Consecutive Angle Theorem, the two rays are parallel.
4. A mirror is rotated by an angle b. Draw a diagram to show that a light ray reflected from the mirror changes direction by 2b. Sample answer: The first figure shows a ray being reflected, forming angle a with the normal. Next, the mirror is rotated by angle b. The normal also shifts by this angle. The new angle of incidence is a + b, as shown in the third figure. The angle measure between the initial ray and the first reflection is 2a, while the measure between the initial ray and the new reflection is 2a + 2b. Therefore, the measure between the two reflections is 2b
5. Two rays originate from the same point and diverge at an angle θ. Show that after striking a plane mirror, the angle between the two rays remains θ.

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